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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.4 Matrices and Linear Equations, #35 · Linear Algebra · Linear systems

The matrix product … equals the ______ matrix

The matrix product $A B B^{- 1} A^{- 1}$ equals the ______ matrix. Therefore the inverse of $A B$ is ______. Important: The associative law in Problem 29 allows you to multiply $B^{- 1}$ first.

This exercise builds on another exercise in its source book, which isn't shown here.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.4 Matrices and Linear Equations, #35

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